where \(\tilde{\Gamma }\)  is the Radon-Nikodym derivative in the second framework (for our setting), and \(Z\)  is the Radon-Nikodym derivative in the first framework ([1]}). \(h,(m,n^1,n^2),(r,s^1,s^2)\)  satisfy (REF ), and \((P,Q,\tilde{Q}),p,(q,k,\tilde{k})\)  satisfy (2.3), (2.4) in [1]}. Therefore, in the non-Poisson case, the equivalence between the two kinds of frameworks can be proved with the relations above.
